Solve 7/8x-1/2=3/16x+5

$$\frac { 7 } { 8 } x - \frac { 1 } { 2 } = \frac { 3 } { 16 } x + 5$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Subtract \frac{3}{16}x from both sides.

$$\frac{7}{8}x-\frac{1}{2}-\frac{3}{16}x=5$$

Combine \frac{7}{8}x and -\frac{3}{16}x to get \frac{11}{16}x.

$$\frac{11}{16}x-\frac{1}{2}=5$$

Add \frac{1}{2} to both sides.

$$\frac{11}{16}x=5+\frac{1}{2}$$

Convert 5 to fraction \frac{10}{2}.

$$\frac{11}{16}x=\frac{10}{2}+\frac{1}{2}$$

Since \frac{10}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{11}{16}x=\frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$\frac{11}{16}x=\frac{11}{2}$$

Multiply both sides by \frac{16}{11}, the reciprocal of \frac{11}{16}.

$$x=\frac{11}{2}\times \frac{16}{11}$$

Multiply \frac{11}{2} times \frac{16}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{11\times 16}{2\times 11}$$

Cancel out 11 in both numerator and denominator.

$$x=\frac{16}{2}$$

Divide 16 by 2 to get 8.

$$x=8$$